Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values

Alexandre Janon 1, * Maëlle Nodet 1 Clémentine Prieur 1, 2
* Corresponding author
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : We present a reduced basis offline/online procedure for viscous Burgers initial boundary value problem, enabling efficient approximate computation of the solutions of this equation for parametrized viscosity and initial and boundary value data. This procedure comes with a fast-evaluated rigorous error bound certifying the approximation procedure. Our numerical experiments show significant computational savings, as well as efficiency of the error bound.
Document type :
Journal articles
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download

https://hal.inria.fr/inria-00524727
Contributor : Alexandre Janon <>
Submitted on : Sunday, June 17, 2012 - 10:29:00 AM
Last modification on : Wednesday, April 11, 2018 - 1:58:56 AM
Long-term archiving on : Tuesday, September 18, 2012 - 2:21:14 AM

Files

Rev3_BReduc.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

Alexandre Janon, Maëlle Nodet, Clémentine Prieur. Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2013, 47 (2), pp.317-348. ⟨10.1051/m2an/2012029⟩. ⟨inria-00524727v2⟩

Share

Metrics

Record views

832

Files downloads

324